Explore the intricacies of inverse problems and the anisotropic Calderón conjecture in this 48-minute Fields Postdoc Colloquium talk by Ali Feizmohammadi at The Fields Institute. Delve into geometric inverse problems, starting with an introduction to the Calderón problem and its various formulations. Examine harmonic functions, complex geometric optics, and problem-solving techniques. Investigate the Lorenzian problem and wave equation properties before concluding with a discussion on reconstruction algorithms. Gain insights into this complex mathematical topic through a structured exploration of key concepts and their applications.